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Beliebt Rechnen >

integral from 0 to 1 of (e^x-xe^{x^2})

Lösung

\int_{0}^{1} (e^{x} - x e^{x^{2}}) d x

Lösung

e - 1 - \frac{e - 1}{2}

+1

Dezimale

0.85914 \dots

Schritte zur Lösung

\int_{0}^{1} e^{x} - x e^{x^{2}} d x

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{0}^{1} e^{x} d x - \int_{0}^{1} x e^{x^{2}} d x

\int_{0}^{1} e^{x} d x = e - 1

\int_{0}^{1} x e^{x^{2}} d x = \frac{e - 1}{2}

= e - 1 - \frac{e - 1}{2}

Graph

Beliebte Beispiele

integral of v/(1-v)

\int \frac{v}{1 - v} d v

integral of-x+3(cos((n*pi*x)/8))

\int - x + 3 (cos (\frac{n \cdot π \cdot x}{8})) d x

derivative of 1/(sqrt(xy))

\frac{d}{d x} (\frac{1}{x y})

(x^2-xy)(dy)/(dx)+y^2=0

(x^{2} - x y) \frac{d y}{d x} + y^{2} = 0

y = t